Finding the Third Proportional to 648,560,517,711 and 1,394,727,163,269
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Solution
The third proportional to 648,560,517,711 and 1,394,727,163,269 is: 2,999,355,968,855.33
Step by Step Solution
- Step 1: Write the proportion equation
648,560,517,711 : 1,394,727,163,269 = 1,394,727,163,269 : x - Step 2: Convert to fraction form
648,560,517,711/1,394,727,163,269 = 1,394,727,163,269/x - Step 3: Cross multiply
648,560,517,711x = 1,394,727,163,269 × 1,394,727,163,269 - Step 4: Simplify right side
648,560,517,711x = 1,945,263,859,960,391,808,319,488 - Step 5: Solve for x
x = 1,945,263,859,960,391,808,319,488/648,560,517,711 - Step 6: Final answer
x = 2,999,355,968,855.33
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.